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Extremum Conditions for a Continuous Optimal Problem of Partitioning of a Set with a Nondifferentiable Objective Functional

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Abstract

Necessary and sufficient subdifferential extremum conditions are obtained based on the Dubovitskii-Milyutin scheme for a continuous multiproduct problem of optimal partitioning of a set into subsets with fixed centers under additional constraints.

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REFERENCES

  1. E. M. Kiseleva, Mathematical Methods and Algorithms for Solution of Continuous Problems of Optimal Partitioning of Sets and Their Application, Author's Abstract of Doctoral Diss., 01.01.09, Dnepropetrovsk State Univ., Dnepropetrovsk (1991).

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  2. E. M. Kiseleva and N. K. Vasil'eva, “Optimality conditions for a continuous mathematical model of optimal partitioning of sets,” Mat. Modelirovanie, No. 3, 7-9 (1998).

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Authors and Affiliations

  1. State University, Dnepropetrovsk, Ukraine

    E. M. Kiseleva & N. K. Vasil'eva

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  1. E. M. Kiseleva
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  2. N. K. Vasil'eva
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Kiseleva, E.M., Vasil'eva, N.K. Extremum Conditions for a Continuous Optimal Problem of Partitioning of a Set with a Nondifferentiable Objective Functional. Cybernetics and Systems Analysis 36, 855–864 (2000). https://doi.org/10.1023/A:1009457326904

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  • DOI: https://doi.org/10.1023/A:1009457326904

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